Chaotic translations on weighted Orlicz spaces
Functional Analysis
2018-09-12 v1
Abstract
Let be a locally compact group, be a weight on and be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space . In particular, transitivity is equivalent to the blow-up/collapse property in our case. Moreover, the dense set of periodic elements implies transitivity automatically.
Keywords
Cite
@article{arxiv.1809.03694,
title = {Chaotic translations on weighted Orlicz spaces},
author = {Chung-Chuan Chen and Kui-Yo Chen and Serap Öztop and Seyyed Mohammad Tabatabaie},
journal= {arXiv preprint arXiv:1809.03694},
year = {2018}
}